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djyliett [7]
3 years ago
15

A circle of center (a, o) passes through the point (o, -a) find it equation​

Mathematics
1 answer:
Savatey [412]3 years ago
6 0

Answer:

  (x -a)^2 + y^2 = 2a^2

Step-by-step explanation:

The equation of a circle with center (h, k) and radius r is ...

  (x -h)^2 +(y -k)^2 = r^2

Here r^2 is the square of the distance between the center and the point on the circle. That can be found using the distance formula:

  d^2 = r^2 = (x2-x1)^2 +(y2 -y1)^2 = (0-a)^2 +(-a-0)^2 = 2a^2

Filling in the above formula with (h, k) = (a, 0) and r^2 = 2a^2, we find the equation to be ...

  (x -a)^2 +y^2 = 2a^2

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What is the value of tan C in this triangle?​
goblinko [34]

Answer:

\large\boxed{\dfrac{24}{7}}

Step-by-step explanation:

tangent=\dfrac{opposite}{adjacent}

We have

opposite=24\\adjacent=7

Substitute:

\tan C=\dfrac{24}{7}

5 0
3 years ago
Myra is a scientist and needs 45 gallons of a 16% acid solution. The lab is currently stocked only with a 20% acid solution and
asambeis [7]

Answer:

The volume of the solution with 20% acid is 27 gallons and the one with 10% acid is 18 gallons

Step-by-step explanation:

Myra needs to mix "x" gallons of the solution with 20% and "y" gallons of the solution with 10%. The volume of the final solution must be 45 gallons, therefore:

x + y = 45

The concentration of acid of the final solution is:

0.2*x + 0.1*y = 45*0.16

0.2*x + 0.1*y = 7.2

Therefore we have a system of equation:

x + y = 45

0.2*x + 0.1*y = 7.2

We need to multiply the first equation by -0.1:

-0.1*x -0.1*y = -4.5

0.2*x + 0.1*y = 7.2

We now sum both equation:

0.1*x = 2.7

x = 2.7/0.1 = 27 gallons

y = 45 - 27  = 18 gallons

6 0
3 years ago
HELP RIGHT AWAY THANK YOU
Tems11 [23]

Answer:

b^{6}

Step-by-step explanation:

7 0
3 years ago
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Dovator [93]
9 feet on the sides hope this helps
7 0
3 years ago
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8 0
3 years ago
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